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sp2606 [1]
3 years ago
8

Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6

Mathematics
1 answer:
posledela3 years ago
3 0

9514 1404 393

Answer:

  0

Step-by-step explanation:

The function is defined everywhere except at x=-6. The limit value is the function value at that point.

  f(6) = (6^2 -36)/(6 +6) = 0/12 = 0

The limit of the function is 0 as x → 6.

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The resulting residual value is e=-40.24.

Step-by-step explanation:

The residual value e for a regression model is defined as the difference between the real value y and the predicted value yp:

e=y-y_p

The predicted value for DISTANCE=0.43 miles is:

RENT = 1200.4326 - 256.2567\cdot DISTANCE\\\\RENT(0.43) = 1200.4326 - 256.2567\cdot 0.43\\\\RENT(0.43) = 1200.4326 - 110.1904=1090.2422\\\\

Then, if the real value is $1,050, the residual value is calculated as:

e=y-y_p\\\\e=1050-1090.2422=-40.2422

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3 years ago
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Natasha_Volkova [10]
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3 0
3 years ago
Find the measure of ∠C if ∠A = 3 2 x + 20 ∠B = 7 2 x + 20 ∠C = 5 2 x + 40 ∠D = 3 2 x + 10 A) 65° B) 76° C) 95° D) 115°
Rudiy27
The sum of the angles of a quadrilateral is 360°.
\left(\dfrac{3}{2}x+20\right)+\left(\dfrac{7}{2}x+20\right)+\left(\dfrac{5}{2}x+40\right)+\left(\dfrac{3}{2}x+10\right)=360\\\\9x+90=360\\\\x=\dfrac{270}{9}=30

Given that x=30, the measure of ∠C is
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The appropriate choice is ...
  D) 115°
5 0
3 years ago
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Complete the factorization.<br><br> a^2+3a-28=(a-4)(a+ )
Murrr4er [49]

Answer:

Step-by-step explanation:

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aksik [14]

HETY is a parallelogram.

HT and EY are diagonals. We know that diagonals divides the parallelogram into two equal parts.

So ar(HET) = ar(HTY)

And, ar(HEY) = ar(EYT) now, in AHET, diagonal EY bisects the line segment HT and also the AHET,

∴ar(AHOE) = ar(AEOT)

Similarly in AETY

ar(ΔΕΟΤ) = ar(ΔΤΟΥ)

And in AHTY,

ar(ATOY) = ar(AHOY)

That means diagonals in parallelogram divides it into four equal parts.

Hence Proofed.

5 0
3 years ago
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